jayloy969
24.03.2020 •
Mathematics
For the histogram on the right determine whether the mean is greater than, less than, or approximately equal to the median. Justify your answer. 0 5 10 15 20 A histogram has a vertical axis labeled from 0 to 20 in increments of 5. Six adjacent vertical bars with equal width extend from the horizontal axis have heights, from left to right, as follows: 3, 4, 7, 10, 13, and 10. Which of the following is correct? A. x overbar equals Upper M because the histogram is symmetric. B. x overbar less than Upper M because the histogram is symmetric. C. x overbar greater than Upper M because the histogram is skewed left. D. x overbar less than Upper M because the histogram is skewed left. E. x overbar greater than Upper M because the histogram is skewed right. F. x overbar equals Upper M because the histogram is skewed right.
Solved
Show answers
More tips
- H Health and Medicine How to Increase Blood Pressure without Medication?...
- F Food and Cooking What to Give as a Wedding Gift?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
Answers on questions: Mathematics
- M Mathematics 0.21 simplified as a fraction?...
- M Mathematics What is the 2 rounded to in 2.576...
- M Mathematics What is 10 times as much as 0.1...
- M Mathematics How much longer is a 12 cm pencil then a 1 dm pen?...
- M Mathematics What is five to the power of ten written in numbers...
- M Mathematics Ihave an unlimited supply of standard 6-sided dice. what s the fewest number of dice that i have to simultaneously roll to be at least 90% likely to roll at least one 6? you may...
- M Mathematics Anormal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. what information about their performances can be obtained by analyzing...
- M Mathematics How do i do this problem it s so confusing...
- M Mathematics Suppose that $2,000 is invested at a rate of 3.4% interest, compounded quarterly. assuming no withdrawals are made, find the total amount after 10 years...
- M Mathematics (1 pt) round each number to the nearest hundredth. what is the best estimate for the sum of 34.719 51.626?...
Ответ:
Option D is correct.
x overbar less than Upper M because the histogram is skewed left.
Step-by-step explanation:
Note that x overbar represents the mean and upper M represents the median.
The median is the variable at the middle of the distribution of distribution when all the variables are arranged in ascending or descending order.
The total frequency for this distribution is 3+4+7+10+13+10 = 47
the median will be at the middle of this distribution; that is, at the 24th position.
The 24th position is on the 4th bar (the very end of the 4the bar).
The mean is the average of a distribution. It is the sum of variables in the distribution divided by the number of variables in the distribution.
For an histogram, the number in the middle of each bar is used to calculate the mean.
Let us assume that the width of each bar is 5 and the midpoint of the first bar is x, then the midpoint of the next bar will be x+5, the next bar will be x+10, etc.
Sum of the variables = (x)(3) + (x+5)(4) + (x+10)(7) + (x+15)(10) + (x+20)(13) + (x+25)(10) = 47x + 750
mean = (47x+750)/47
Mean = (x + 15.95)
This value indicates that the mean is on the 4th bar. But like we obtained, the median was at the end of the 4th bar, the mean is closer to the midpoint of the bar. (Recall that the midpoint of the bar is x+15).
This indicates that the mean is less than the median.
When the mean is less than the median, it means that less variables fall below the mean, more variables are found above the mean and it is a skewed left distribution.
Hope this Helps!!!
Ответ:
boston
Explanation:
because